Imposing Restrictions on Density Functions Utilised in Computing With Words
International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) no. 3, pp. 383-390
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Applying the generalised extension principle within the area of Computing with Words typically leads to complex maximisation problems. If distributed quantities–such as, e.g., size distributions within human populations–are considered, density functions representing these distributions become involved. Very often the optimising density functions do not resemble those found in nature; for instance, an optimising density function could consist of two single Dirac pulses positioned near the opposite bounds of the interval limiting the possible values of the quantity considered. Therefore, in this article, density functions with certain shapes which enable us to overcome this lack of resemblance are considered. Furthermore, some considerations on solving the resulting maximisation problems are reported.
Keywords:
computing with words, approximate reasoning, resemblance
Mots-clés : informatyka
Mots-clés : informatyka
@article{IJAMCS_2002_12_3_a6,
author = {Gemeinder, M.},
title = {Imposing {Restrictions} on {Density} {Functions} {Utilised} in {Computing} {With} {Words}},
journal = {International Journal of Applied Mathematics and Computer Science},
pages = {383--390},
publisher = {mathdoc},
volume = {12},
number = {3},
year = {2002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IJAMCS_2002_12_3_a6/}
}
TY - JOUR AU - Gemeinder, M. TI - Imposing Restrictions on Density Functions Utilised in Computing With Words JO - International Journal of Applied Mathematics and Computer Science PY - 2002 SP - 383 EP - 390 VL - 12 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IJAMCS_2002_12_3_a6/ LA - en ID - IJAMCS_2002_12_3_a6 ER -
%0 Journal Article %A Gemeinder, M. %T Imposing Restrictions on Density Functions Utilised in Computing With Words %J International Journal of Applied Mathematics and Computer Science %D 2002 %P 383-390 %V 12 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/IJAMCS_2002_12_3_a6/ %G en %F IJAMCS_2002_12_3_a6
Gemeinder, M. Imposing Restrictions on Density Functions Utilised in Computing With Words. International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) no. 3, pp. 383-390. http://geodesic.mathdoc.fr/item/IJAMCS_2002_12_3_a6/